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Volumn 38, Issue 1, 2004, Pages 42-70

Dynamic Programming Approximations for a Stochastic Inventory Routing Problem

Author keywords

Freight transportation; Logistics; Stochastic inventory routing

Indexed keywords

APPROXIMATION THEORY; COSTS; DYNAMIC PROGRAMMING; INVENTORY CONTROL; PROBABILITY DISTRIBUTIONS; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 1642324107     PISSN: 00411655     EISSN: None     Source Type: Journal    
DOI: 10.1287/trsc.1030.0041     Document Type: Article
Times cited : (158)

References (79)
  • 1
    • 0002211552 scopus 로고
    • One warehouse multiple retailer systems with vehicle routing costs
    • Anily, S., A. Federgruen. 1990. One warehouse multiple retailer systems with vehicle routing costs. Management Sci. 36 92-114.
    • (1990) Management Sci. , vol.36 , pp. 92-114
    • Anily, S.1    Federgruen, A.2
  • 2
    • 0343621923 scopus 로고
    • Rejoinder to comments on one warehouse multiple retailer systems with vehicle routing costs
    • Anily, S., A. Federgruen. 1991. Rejoinder to comments on one warehouse multiple retailer systems with vehicle routing costs. Management Sci. 37 1497-1499.
    • (1991) Management Sci. , vol.37 , pp. 1497-1499
    • Anily, S.1    Federgruen, A.2
  • 3
    • 0003181676 scopus 로고
    • Two-echelon distribution systems with vehicle routing costs and central inventories
    • Anily, S., A. Federgruen. 1993. Two-echelon distribution systems with vehicle routing costs and central inventories. Oper. Res. 41 37-47.
    • (1993) Oper. Res. , vol.41 , pp. 37-47
    • Anily, S.1    Federgruen, A.2
  • 4
    • 0032069938 scopus 로고    scopus 로고
    • A decomposition approach to the inventory routing problem with satellite facilities
    • Bard, J. F., L. Huang, P. Jaillet, M. Dror. 1998. A decomposition approach to the inventory routing problem with satellite facilities. Transportation Sci. 32 189-203.
    • (1998) Transportation Sci. , vol.32 , pp. 189-203
    • Bard, J.F.1    Huang, L.2    Jaillet, P.3    Dror, M.4
  • 5
    • 0031220213 scopus 로고    scopus 로고
    • Direct shipping and the dynamic single-depot/multi-retailer inventory system
    • Barnes-Schuster, D., Y. Bassok. 1997. Direct shipping and the dynamic single-depot/multi-retailer inventory system. Eur. J. Oper. Res. 101 509-518.
    • (1997) Eur. J. Oper. Res. , vol.101 , pp. 509-518
    • Barnes-Schuster, D.1    Bassok, Y.2
  • 6
    • 0008780063 scopus 로고
    • Dynamic allocations for multi-product distribution
    • Bassok, Y., R. Ernst. 1995. Dynamic allocations for multi-product distribution. Transportation Sci. 29 256-266.
    • (1995) Transportation Sci. , vol.29 , pp. 256-266
    • Bassok, Y.1    Ernst, R.2
  • 7
    • 0020911813 scopus 로고
    • Improving the distribution of industrial gases with an on-line computerized routing and scheduling optimizer
    • Bell, W., L. Dalberto, M. Fisher, A. Greenfield, R. Jaikumar, P. Kedia, R. Mack, P. Prutzman. 1983. Improving the distribution of industrial gases with an on-line computerized routing and scheduling optimizer. Interfaces 13 4-23.
    • (1983) Interfaces , vol.13 , pp. 4-23
    • Bell, W.1    Dalberto, L.2    Fisher, M.3    Greenfield, A.4    Jaikumar, R.5    Kedia, P.6    Mack, R.7    Prutzman, P.8
  • 8
    • 84968519017 scopus 로고
    • Functional approximations and dynamic programming
    • Bellman, R., S. Dreyfus. 1959. Functional approximations and dynamic programming. Math. Tables Other Aids Comput. 13 247-251.
    • (1959) Math. Tables Other Aids Comput. , vol.13 , pp. 247-251
    • Bellman, R.1    Dreyfus, S.2
  • 9
    • 84968468700 scopus 로고
    • Polynomial approximation - A new computational technique in dynamic programming: Allocation processes
    • Bellman, R., R. Kalaba, B. Kotkin. 1963. Polynomial approximation - A new computational technique in dynamic programming: Allocation processes. Math. Comput. 17 155-161.
    • (1963) Math. Comput. , vol.17 , pp. 155-161
    • Bellman, R.1    Kalaba, R.2    Kotkin, B.3
  • 10
    • 0036474929 scopus 로고    scopus 로고
    • Deterministic order-up-to level policies in an inventory routing problem
    • Bertazzi, L., G. Paletta, M. G. Speranza. 2002. Deterministic order-up-to level policies in an inventory routing problem. Transportation Sci. 36 119-132.
    • (2002) Transportation Sci. , vol.36 , pp. 119-132
    • Bertazzi, L.1    Paletta, G.2    Speranza, M.G.3
  • 11
    • 0016515669 scopus 로고
    • Convergence of discretization procedures in dynamic programming
    • Bertsekas, D. P. 1975. Convergence of discretization procedures in dynamic programming. IEEE Trans. Auto, Control AC-20 415-419.
    • (1975) IEEE Trans. Auto, Control , vol.AC-20 , pp. 415-419
    • Bertsekas, D.P.1
  • 15
    • 0001574219 scopus 로고
    • A location based heuristic for general routing problems
    • Bramel, J., D. Simchi-Levi. 1995. A location based heuristic for general routing problems. Oper. Res. 43 649-660.
    • (1995) Oper. Res. , vol.43 , pp. 649-660
    • Bramel, J.1    Simchi-Levi, D.2
  • 16
    • 0022059696 scopus 로고
    • Distribution strategies that minimize transportation and inventory costs
    • Burns, L. D., R. W. Hall, D. E. Blumenfeld, C. F. Daganzo. 1985. Distribution strategies that minimize transportation and inventory costs. Oper. Res. 33 469-490.
    • (1985) Oper. Res. , vol.33 , pp. 469-490
    • Burns, L.D.1    Hall, R.W.2    Blumenfeld, D.E.3    Daganzo, C.F.4
  • 17
    • 0033902373 scopus 로고    scopus 로고
    • Stock replenishment and shipment scheduling for vendor managed inventory systems
    • Çetinkaya, S., C. Y. Lee. 2000. Stock replenishment and shipment scheduling for vendor managed inventory systems. Management Sci. 46 217-232.
    • (2000) Management Sci. , vol.46 , pp. 217-232
    • Çetinkaya, S.1    Lee, C.Y.2
  • 18
    • 0031701710 scopus 로고    scopus 로고
    • Probabilistic analysis and practical algorithms for inventory-routing models
    • Chan, L. M. A., A. Federgruen, D. Simchi-Levi. 1998. Probabilistic analysis and practical algorithms for inventory-routing models. Oper. Res. 46 96-106.
    • (1998) Oper. Res. , vol.46 , pp. 96-106
    • Chan, L.M.A.1    Federgruen, A.2    Simchi-Levi, D.3
  • 19
    • 1642274967 scopus 로고
    • Discrete-sample curve fitting using Chebyshev polynomials and the approximate determination of optimal trajectories via dynamic programming
    • Chang, C. S. 1966. Discrete-sample curve fitting using Chebyshev polynomials and the approximate determination of optimal trajectories via dynamic programming. IEEE Trans. Auto. Control AC-11 116-118.
    • (1966) IEEE Trans. Auto. Control , vol.AC-11 , pp. 116-118
    • Chang, C.S.1
  • 20
    • 0001820934 scopus 로고    scopus 로고
    • Applying experimental design and regression splines to high-dimensional continuous-state stochastic dynamic programming
    • Chen, V. C. P., D. Ruppert, C. A. Shoemaker. 1999. Applying experimental design and regression splines to high-dimensional continuous-state stochastic dynamic programming. Oper. Res. 47 38-53.
    • (1999) Oper. Res. , vol.47 , pp. 38-53
    • Chen, V.C.P.1    Ruppert, D.2    Shoemaker, C.A.3
  • 21
    • 0001837441 scopus 로고
    • An integrated inventory allocation and vehicle routing problem
    • Chien, T. W., A. Balakrishnan, R. T. Wong. 1989. An integrated inventory allocation and vehicle routing problem. Transportation Sci. 23 67-76.
    • (1989) Transportation Sci. , vol.23 , pp. 67-76
    • Chien, T.W.1    Balakrishnan, A.2    Wong, R.T.3
  • 22
    • 0026206780 scopus 로고
    • An optimal one-way multigrid algorithm for discrete-time stochastic control
    • Chow, C. S., J. N. Tsitsiklis. 1991. An optimal one-way multigrid algorithm for discrete-time stochastic control. IEEE Trans. Auto. Control AC-36 898-914.
    • (1991) IEEE Trans. Auto. Control , vol.AC-36 , pp. 898-914
    • Chow, C.S.1    Tsitsiklis, J.N.2
  • 23
    • 0006681133 scopus 로고    scopus 로고
    • Decomposition of a combined inventory and time constrained ship routing problem
    • Christiansen, M. 1999. Decomposition of a combined inventory and time constrained ship routing problem. Transportation Sci. 33 3-16.
    • (1999) Transportation Sci. , vol.33 , pp. 3-16
    • Christiansen, M.1
  • 24
    • 0032397383 scopus 로고    scopus 로고
    • A method for solving ship routing problems with inventory constraints
    • Christiansen, M., B. Nygreen. 1998a. A method for solving ship routing problems with inventory constraints. Ann. Oper. Res. 81 357-378.
    • (1998) Ann. Oper. Res. , vol.81 , pp. 357-378
    • Christiansen, M.1    Nygreen, B.2
  • 25
    • 0032337356 scopus 로고    scopus 로고
    • Modelling path flows for a combined ship routing and inventory management problem
    • Christiansen, M., B. Nygreen. 1998b. Modelling path flows for a combined ship routing and inventory management problem. Ann. Oper. Res. 82 391-412.
    • (1998) Ann. Oper. Res. , vol.82 , pp. 391-412
    • Christiansen, M.1    Nygreen, B.2
  • 26
    • 0141464118 scopus 로고
    • Reduction of dimensionality in dynamic programming via the method of diagonal decomposition
    • Collins, D. C. 1970. Reduction of dimensionality in dynamic programming via the method of diagonal decomposition. J. Math. Anal. Appl. 31 223-234.
    • (1970) J. Math. Anal. Appl. , vol.31 , pp. 223-234
    • Collins, D.C.1
  • 27
    • 1642374268 scopus 로고
    • The diagonal decomposition technique applied to the dynamic programming solution of elliptic partial differential equations
    • Collins, D. C., E. S. Angel. 1971. The diagonal decomposition technique applied to the dynamic programming solution of elliptic partial differential equations. J. Math. Anal. Appl. 33 467-481.
    • (1971) J. Math. Anal. Appl. , vol.33 , pp. 467-481
    • Collins, D.C.1    Angel, E.S.2
  • 28
    • 0014785102 scopus 로고
    • A dimensional approximation in dynamic programming by structural decomposition
    • Collins, D. C., A. Lew. 1970. A dimensional approximation in dynamic programming by structural decomposition. J. Math. Anal. Appl. 30 375-384.
    • (1970) J. Math. Anal. Appl. , vol.30 , pp. 375-384
    • Collins, D.C.1    Lew, A.2
  • 31
    • 0021582741 scopus 로고
    • Error bounds for the analysis by decomposition of non-negative matrices
    • G. Iazeolla, P. J. Courtois, A. Hordijk, eds. Elsevier Science Publishers B.V., Amsterdam, The Netherlands, Chapter 2.2
    • Courtois, P. J., P. Semal. 1984. Error bounds for the analysis by decomposition of non-negative matrices. G. Iazeolla, P. J. Courtois, A. Hordijk, eds. Mathematical Computer Performance and Reliability. Elsevier Science Publishers B.V., Amsterdam, The Netherlands, Chapter 2.2, 209-224.
    • (1984) Mathematical Computer Performance and Reliability , pp. 209-224
    • Courtois, P.J.1    Semal, P.2
  • 32
    • 0016951139 scopus 로고
    • Splines and efficiency in dynamic programming
    • Daniel, J. W. 1976. Splines and efficiency in dynamic programming. J. Math. Anal. Appl. 54 402-407.
    • (1976) J. Math. Anal. Appl. , vol.54 , pp. 402-407
    • Daniel, J.W.1
  • 33
    • 0034342516 scopus 로고    scopus 로고
    • On the existence of fixed points for approximate value iteration and temporal-difference learning
    • De Farias, D. P., B. Van Roy. 2000. On the existence of fixed points for approximate value iteration and temporal-difference learning. J. Optim. Theory Appl. 105 589-608.
    • (2000) J. Optim. Theory Appl. , vol.105 , pp. 589-608
    • De Farias, D.P.1    Van Roy, B.2
  • 34
    • 0023563839 scopus 로고
    • Inventory/routing: Reduction from an annual to a short period problem
    • Dror, M., M. Ball. 1987. Inventory/routing: Reduction from an annual to a short period problem. Naval Res. Logist. Quart. 34 891-905.
    • (1987) Naval Res. Logist. Quart. , vol.34 , pp. 891-905
    • Dror, M.1    Ball, M.2
  • 35
    • 0022582294 scopus 로고
    • Vehicle routing improvement algorithms: Comparison of a "greedy" and a matching implementation for inventory routing
    • Dror, M., L. Levy. 1986. Vehicle routing improvement algorithms: Comparison of a "greedy" and a matching implementation for inventory routing. Comput. Oper. Res. 13 33-45.
    • (1986) Comput. Oper. Res. , vol.13 , pp. 33-45
    • Dror, M.1    Levy, L.2
  • 36
    • 34250117476 scopus 로고
    • A computational comparison of algorithms for the inventory routing problem
    • Dror, M., M. Ball, B. Golden. 1985. A computational comparison of algorithms for the inventory routing problem. Ann. Oper. Res. 4 3-23.
    • (1985) Ann. Oper. Res. , vol.4 , pp. 3-23
    • Dror, M.1    Ball, M.2    Golden, B.3
  • 37
    • 0001214263 scopus 로고
    • Maximum matching and a polyhedron with 0,1-vertices
    • Edmonds, J. 1965a. Maximum matching and a polyhedron with 0,1-vertices. J. Res. National Bureau Standards 69B 125-130.
    • (1965) J. Res. National Bureau Standards , vol.69 B , pp. 125-130
    • Edmonds, J.1
  • 38
    • 0000927535 scopus 로고
    • Paths, trees and flowers
    • Edmonds, J. 1965b. Paths, trees and flowers. Canadian J. Math. 17 449-467.
    • (1965) Canadian J. Math. , vol.17 , pp. 449-467
    • Edmonds, J.1
  • 39
    • 0021489143 scopus 로고
    • A combined vehicle routing and inventory allocation problem
    • Federgruen, A., P. Zipkin. 1984. A combined vehicle routing and inventory allocation problem. Oper. Res. 32 1019-1037.
    • (1984) Oper. Res. , vol.32 , pp. 1019-1037
    • Federgruen, A.1    Zipkin, P.2
  • 40
    • 0005016766 scopus 로고
    • Discretizing dynamic programs
    • Fox, B. L. 1973. Discretizing dynamic programs. J. Optim. Theory Appl. 11 228-234.
    • (1973) J. Optim. Theory Appl. , vol.11 , pp. 228-234
    • Fox, B.L.1
  • 41
    • 85030568489 scopus 로고
    • Data structures for weighted matching and nearest common ancestors with linking
    • Society for Industrial and Applied Mathematics, Philadelphia, PA
    • Gabow, H. N. 1990. Data structures for weighted matching and nearest common ancestors with linking. Proc. 1st Annual ACM-SIAM Sympos. Discrete Algorithms, Society for Industrial and Applied Mathematics, Philadelphia, PA, 434-443.
    • (1990) Proc. 1st Annual ACM-SIAM Sympos. Discrete Algorithms , pp. 434-443
    • Gabow, H.N.1
  • 42
    • 0025376968 scopus 로고
    • On the effectiveness of direct shipping strategy for the one-warehouse multi-retailer R-systems
    • Gallego, G., D. Simchi-Levi. 1990. On the effectiveness of direct shipping strategy for the one-warehouse multi-retailer R-systems. Management Sci. 36 240-243.
    • (1990) Management Sci. , vol.36 , pp. 240-243
    • Gallego, G.1    Simchi-Levi, D.2
  • 44
    • 0021632689 scopus 로고
    • Analysis of a large scale vehicle routing problem with an inventory component
    • Golden, B., A. Assad, R. Dahl. 1984. Analysis of a large scale vehicle routing problem with an inventory component. Large Scale Systems 7 181-190.
    • (1984) Large Scale Systems , vol.7 , pp. 181-190
    • Golden, B.1    Assad, A.2    Dahl, R.3
  • 45
    • 0022689382 scopus 로고
    • Approximation and bounds in discrete event dynamic programming
    • Haurie, A., P. L'Ecuyer. 1986. Approximation and bounds in discrete event dynamic programming. IEEE Trans. Auto. Control AC-31 227-235.
    • (1986) IEEE Trans. Auto. Control , vol.AC-31 , pp. 227-235
    • Haurie, A.1    L'Ecuyer, P.2
  • 46
    • 0030674929 scopus 로고    scopus 로고
    • Heuristics for a one-warehouse multi-retailer distribution problem with performance bounds
    • Herer, Y. R. Roundy. 1997. Heuristics for a one-warehouse multi-retailer distribution problem with performance bounds. Oper. Res. 45 102-115.
    • (1997) Oper. Res. , vol.45 , pp. 102-115
    • Herer, Y.1    Roundy, R.2
  • 47
    • 0016973891 scopus 로고
    • Estimates for finite-stage dynamic programs
    • Hinderer, K. 1976. Estimates for finite-stage dynamic programs. J. Math. Anal. Appl. 55 207-238.
    • (1976) J. Math. Anal. Appl. , vol.55 , pp. 207-238
    • Hinderer, K.1
  • 48
    • 0003320856 scopus 로고
    • On approximate solutions of finite-stage dynamic programs
    • M. L. Puterman, ed. Academic Press, New York
    • Hinderer, K. 1978. On approximate solutions of finite-stage dynamic programs. M. L. Puterman, ed. Dynamic Programmming and its Applications. Academic Press, New York, 289-317.
    • (1978) Dynamic Programmming and Its Applications , pp. 289-317
    • Hinderer, K.1
  • 49
    • 3142699386 scopus 로고
    • On exact and approximate solutions of unstructured finite-stage dynamic programs
    • H. C. Tijms, J. Wessels, eds. September 13-17, 1976, Amsterdam, The Netherlands
    • Hinderer, K., G. Hübner. 1977. On exact and approximate solutions of unstructured finite-stage dynamic programs. H. C. Tijms, J. Wessels, eds. Markov Decision Theory: Proc. Adv. Sem. Markov Decision Theory (September 13-17, 1976), Amsterdam, The Netherlands, 57-76.
    • (1977) Markov Decision Theory: Proc. Adv. Sem. Markov Decision Theory , pp. 57-76
    • Hinderer, K.1    Hübner, G.2
  • 50
    • 0036474928 scopus 로고    scopus 로고
    • The stochastic inventory routing problem with direct deliveries
    • Kleywegt, A. J., V. S. Nori, M. W. P. Savelsbergh. 2002. The stochastic inventory routing problem with direct deliveries. Transportation Sci. 36 94-118.
    • (2002) Transportation Sci. , vol.36 , pp. 94-118
    • Kleywegt, A.J.1    Nori, V.S.2    Savelsbergh, M.W.P.3
  • 51
    • 0025484857 scopus 로고
    • Numerical methods for continuous control problems in continuous time
    • Kushner, H. J. 1990. Numerical methods for continuous control problems in continuous time. SIAM J. Control Optim. 28 999-1048.
    • (1990) SIAM J. Control Optim. , vol.28 , pp. 999-1048
    • Kushner, H.J.1
  • 53
    • 0024064023 scopus 로고
    • Transporting sludge to the 106 mile site: An inventory/routing model for fleet sizing and logistics system design
    • Larson, R. 1988. Transporting sludge to the 106 mile site: An inventory/routing model for fleet sizing and logistics system design. Transportation Sci. 22 186-198.
    • (1988) Transportation Sci. , vol.22 , pp. 186-198
    • Larson, R.1
  • 55
    • 0003028421 scopus 로고
    • A Markov decision model and decomposition heuristic for dynamic vehicle dispatching
    • Minkoff, A. S. 1993. A Markov decision model and decomposition heuristic for dynamic vehicle dispatching. Oper. Res. 41 77-90.
    • (1993) Oper. Res. , vol.41 , pp. 77-90
    • Minkoff, A.S.1
  • 56
    • 0345184460 scopus 로고
    • Computational advances in dynamic programming
    • M. L. Puterman, ed. Academic Press, New York
    • Morin, T. 1978. Computational advances in dynamic programming. M. L. Puterman, ed. Dynamic Programmming and its Applications. Academic Press, New York, 53-90.
    • (1978) Dynamic Programmming and Its Applications , pp. 53-90
    • Morin, T.1
  • 57
    • 0001338090 scopus 로고
    • Using common random numbers for indifference-zone selection and multiple comparisons in simulation
    • Nelson, B. L., F. J. Matejcik. 1995. Using common random numbers for indifference-zone selection and multiple comparisons in simulation. Management Sci. 41 1935-1945.
    • (1995) Management Sci. , vol.41 , pp. 1935-1945
    • Nelson, B.L.1    Matejcik, F.J.2
  • 58
    • 0032071535 scopus 로고    scopus 로고
    • Dynamic control of logistics queueing networks for large-scale fleet management
    • Powell, W. B., T. A. Carvalho. 1998. Dynamic control of logistics queueing networks for large-scale fleet management. Transportation Sci. 32 90-109.
    • (1998) Transportation Sci. , vol.32 , pp. 90-109
    • Powell, W.B.1    Carvalho, T.A.2
  • 60
    • 0033225180 scopus 로고    scopus 로고
    • Heavy traffic analysis of the dynamic stochastic inventory-routing problem
    • Reiman, M. I., R. Rubio, L. M. Wein. 1999. Heavy traffic analysis of the dynamic stochastic inventory-routing problem. Transportation Sci. 33 361-380.
    • (1999) Transportation Sci. , vol.33 , pp. 361-380
    • Reiman, M.I.1    Rubio, R.2    Wein, L.M.3
  • 61
    • 0000606094 scopus 로고
    • Aggregation and disaggregation techniques and methodology in optimization
    • Rogers, D. P., R. D. Plante, R. T. Wong, J. R. Evans. 1991. Aggregation and disaggregation techniques and methodology in optimization. Oper. Res. 39 553-582.
    • (1991) Oper. Res. , vol.39 , pp. 553-582
    • Rogers, D.P.1    Plante, R.D.2    Wong, R.T.3    Evans, J.R.4
  • 62
    • 0000273218 scopus 로고
    • Generalized polynomial approximations in Markovian decision processes
    • Schweitzer, P. J., A. Seidman. 1985. Generalized polynomial approximations in Markovian decision processes. J. Math. Anal. Appl. 110 568-582.
    • (1985) J. Math. Anal. Appl. , vol.110 , pp. 568-582
    • Schweitzer, P.J.1    Seidman, A.2
  • 63
    • 0034086424 scopus 로고    scopus 로고
    • Comparing neuro-dynamic programming algorithms for the vehicle routing problem with stochastic demands
    • Secomandi, N. 2000. Comparing neuro-dynamic programming algorithms for the vehicle routing problem with stochastic demands. Comput. Oper. Res. 27 1201-1225.
    • (2000) Comput. Oper. Res. , vol.27 , pp. 1201-1225
    • Secomandi, N.1
  • 64
    • 0021621619 scopus 로고
    • On the structure of nearly uncoupled Markov chains
    • G. Iazeolla, P. J. Courtois, A. Hordijk, eds. Elsevier Science Publishers B.V., Amsterdam, The Netherlands, Chapter 2.7
    • Stewart, G. W. 1984. On the structure of nearly uncoupled Markov chains. G. Iazeolla, P. J. Courtois, A. Hordijk, eds. Mathematical Computer Performance and Reliability. Elsevier Science Publishers B.V., Amsterdam, The Netherlands, Chapter 2.7, 287-302.
    • (1984) Mathematical Computer Performance and Reliability , pp. 287-302
    • Stewart, G.W.1
  • 66
    • 0000184304 scopus 로고
    • Optimal ordering and rationing policies in a nonstationary dynamic inventory model with n demand classes
    • Topkis, D. M. 1968. Optimal ordering and rationing policies in a nonstationary dynamic inventory model with n demand classes. Management Sci. 15 160-176.
    • (1968) Management Sci. , vol.15 , pp. 160-176
    • Topkis, D.M.1
  • 67
    • 0026903304 scopus 로고
    • Stochastic inventory routing: Route design with stockouts and route failures
    • Trudeau, P., M. Dror. 1992. Stochastic inventory routing: Route design with stockouts and route failures. Transportation Sci. 26 171-184.
    • (1992) Transportation Sci. , vol.26 , pp. 171-184
    • Trudeau, P.1    Dror, M.2
  • 68
    • 0029752470 scopus 로고    scopus 로고
    • Feature-based methods for large-scale dynamic programming
    • Tsitsiklis, J. N., B. Van Roy. 1996. Feature-based methods for large-scale dynamic programming. Machine Learning 22 59-94.
    • (1996) Machine Learning , vol.22 , pp. 59-94
    • Tsitsiklis, J.N.1    Van Roy, B.2
  • 69
    • 0033221519 scopus 로고    scopus 로고
    • Average cost temporal-difference learning
    • Tsitsiklis, J. N., B. Van Roy. 1999a. Average cost temporal-difference learning. Automatica 35 1799-1808.
    • (1999) Automatica , vol.35 , pp. 1799-1808
    • Tsitsiklis, J.N.1    Van Roy, B.2
  • 70
    • 0033351917 scopus 로고    scopus 로고
    • Optimal stopping of Markov processes: Hilbert space theory, approximation algorithms, and an application to pricing high-dimensional derivatives
    • Tsitsiklis, J. N., B. Van Roy. 1999b. Optimal stopping of Markov processes: Hilbert space theory, approximation algorithms, and an application to pricing high-dimensional derivatives. IEEE Trans. Auto. Control 44 1840-1851.
    • (1999) IEEE Trans. Auto. Control , vol.44 , pp. 1840-1851
    • Tsitsiklis, J.N.1    Van Roy, B.2
  • 71
    • 85156189541 scopus 로고    scopus 로고
    • Stable linear approximations to dynamic programming for stochastic control problems with local transitions
    • MIT Press, Cambridge, MA
    • Van Roy, B., J. N. Tsitsiklis. 1996. Stable linear approximations to dynamic programming for stochastic control problems with local transitions. Advances in Neural Information Processing Systems, Vol. 8. MIT Press, Cambridge, MA, 1045-1051.
    • (1996) Advances in Neural Information Processing Systems , vol.8 , pp. 1045-1051
    • Van Roy, B.1    Tsitsiklis, J.N.2
  • 73
    • 0031083926 scopus 로고    scopus 로고
    • Integrating routing and inventory decisions in one-warehouse multiretailer multiproduct distribution systems
    • Viswanathan, S., K. Mathur. 1997. Integrating routing and inventory decisions in one-warehouse multiretailer multiproduct distribution systems. Management Sci. 43 294-312.
    • (1997) Management Sci. , vol.43 , pp. 294-312
    • Viswanathan, S.1    Mathur, K.2
  • 74
    • 0029358237 scopus 로고
    • Period and phase of customer replenishment: A new approach to the strategic inventory/routing problem
    • Webb, R., R. Larson. 1995. Period and phase of customer replenishment: A new approach to the strategic inventory/routing problem. Eur. J. Oper. Res. 85 132-148.
    • (1995) Eur. J. Oper. Res. , vol.85 , pp. 132-148
    • Webb, R.1    Larson, R.2
  • 75
    • 0017997986 scopus 로고
    • Approximations of dynamic programs
    • Whitt, W. 1978. Approximations of dynamic programs, I. Math. Oper. Res. 3 231-243.
    • (1978) I. Math. Oper. Res. , vol.3 , pp. 231-243
    • Whitt, W.1
  • 76
    • 1642385631 scopus 로고
    • A-priori bounds for approximations of Markov programs
    • Whitt, W. 1979a. A-priori bounds for approximations of Markov programs. J. Math. Anal. Appl. 71 297-302.
    • (1979) J. Math. Anal. Appl. , vol.71 , pp. 297-302
    • Whitt, W.1
  • 77
    • 0018465264 scopus 로고
    • Approximations of dynamic programs, II
    • Whitt, W. 1979b. Approximations of dynamic programs, II. Math. Oper. Res. 4 179-185.
    • (1979) Math. Oper. Res. , vol.4 , pp. 179-185
    • Whitt, W.1
  • 78
    • 1642392013 scopus 로고
    • An approach to reducing the computing time for dynamic programming
    • Wong, P. J. 1970a. An approach to reducing the computing time for dynamic programming. Oper. Res. 18 181-185.
    • (1970) Oper. Res. , vol.18 , pp. 181-185
    • Wong, P.J.1
  • 79
    • 0014706642 scopus 로고
    • A new decomposition procedure for dynamic programming
    • Wong, P. J. 1970b. A new decomposition procedure for dynamic programming. Oper. Res. 18 119-131.
    • (1970) Oper. Res. , vol.18 , pp. 119-131
    • Wong, P.J.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.