Chapter 11 RAPID DISTRIBUTION OF MEDICAL SUPPLIES

Some importan t issue s i n th e desig n o f a n efficient pharmaceutica l suppl y chai n involv e decidin g wher e t o place th e warehouses/inv entories an d ho w to rout e distributio n vehicles . Solving appropriat e facilit y locatio n an d vehicl e routin g problem s ca n ensur e th e design o f a logistic networ k capabl e o f rapi d distributio n o f medica l supplies . In particular , bot h thes e problem s mus t b e solve d i n coordinatio n t o quickly disburs e medica l supplie s i n respons e t o a large-scal e emergency . In thi s chapter , w e presen t model s t o solv e facilit y locatio n an d vehicl e routin g problem s i n th e contex t o f a response t o a large- scal e emergency . We illustrat e th e approac h o n a hypothetical anthra x emergenc y i n Los Angeles County.

[1]  James P. Jarvis,et al.  Modeling co-located servers and dispatch ties in the hypercube model , 1993, Comput. Oper. Res..

[2]  David A. Schilling,et al.  STRATEGIC FACILITY PLANNING: THE ANALYSIS OF OPTIONS , 1982 .

[3]  Amin Saberi,et al.  A new greedy approach for facility location problems , 2002, STOC '02.

[4]  Rajan Batta,et al.  Locating an Ambulance on the Amherst Campus of the State University of New York at Buffalo , 1990 .

[5]  Dorit S. Hochbaum,et al.  LOCATING CENTERS IN A DYNAMICALLY CHANGING NETWORK, AND RELATED PROBLEMS. , 1998 .

[6]  Rajan Batta,et al.  On the use of genetic algorithms to solve location problems , 2002, Comput. Oper. Res..

[7]  Richard L. Church,et al.  The maximal covering location problem , 1974 .

[8]  Patrizia Beraldi,et al.  A branch and bound method for stochastic integer problems under probabilistic constraints , 2002, Optim. Methods Softw..

[9]  Charles ReVelle,et al.  Review, extension and prediction in emergency service siting models , 1989 .

[10]  Gilbert Laporte,et al.  An Exact Algorithm for the Vehicle Routing Problem with Stochastic Demands and Customers , 1995, Transp. Sci..

[11]  Robert Dietrich,et al.  Validating and applying a model for locating emergency medical vehicles in Tuczon, AZ , 1990 .

[12]  Antoine Jézéquel,et al.  Probabilistic vehicle routing problems , 1985 .

[13]  R L Church,et al.  A hybrid FLEET model for emergency medical service system design. , 1988, Social science & medicine.

[14]  Nicola Secomandi,et al.  A Rollout Policy for the Vehicle Routing Problem with Stochastic Demands , 2001, Oper. Res..

[15]  Oded Berman,et al.  Optimal 2-Facility Network Districting in the Presence of Queuing , 1985, Transp. Sci..

[16]  Gilbert Laporte,et al.  Designing collection routes through bank branches , 1991, Comput. Oper. Res..

[17]  Vladimir Marianov,et al.  The P-median problem in a changing network: The case of Barcelona , 1998 .

[18]  Rajan Batta,et al.  A queueing-location model with expected service time dependent queueing disciplines , 1989 .

[19]  RICHARD C. LARSON,et al.  A hypercube queuing model for facility location and redistricting in urban emergency services , 1974, Comput. Oper. Res..

[20]  Paolo Toth,et al.  The Vehicle Routing Problem , 2002, SIAM monographs on discrete mathematics and applications.

[21]  J C McAllister Challenges in purchasing and inventory control. , 1985, American journal of hospital pharmacy.

[22]  V. Paschos,et al.  Probabilistic combinatorial optimization problems: a new domain in Operational Research , 1995 .

[23]  Bruce L. Golden,et al.  VEHICLE ROUTING: METHODS AND STUDIES , 1988 .

[24]  Gilbert Laporte,et al.  The Vehicle Routing Problem with Stochastic Travel Times , 1992, Transp. Sci..

[25]  D Rebidas,et al.  Redesigning medication distribution systems in the OR. , 1999, AORN journal.

[26]  Moshe Dror,et al.  Vehicle Routing with Stochastic Demands: Properties and Solution Frameworks , 1989, Transp. Sci..

[27]  John J. Bernardo,et al.  Developing and validating a decision support system for locating emergency medical vehicles in Louisville, Kentucky , 1994 .

[28]  Robert Carbone,et al.  Public Facilities Location Under Stochastic Demand , 1974 .

[29]  M. Rao,et al.  The m-Center Problem: Minimax Facility Location , 1977 .

[30]  Charles ReVelle,et al.  Concepts and applications of backup coverage , 1986 .

[31]  Dimitris Bertsimas,et al.  A Vehicle Routing Problem with Stochastic Demand , 1992, Oper. Res..

[32]  Kaj Holmberg,et al.  Exact solution methods for uncapacitated location problems with convex transportation costs , 1999, Eur. J. Oper. Res..

[33]  Charles S. ReVelle,et al.  The Location of Emergency Service Facilities , 1971, Oper. Res..

[34]  Maged Dessouky,et al.  A modeling framework for facility location of medical services for large-scale emergencies , 2007 .

[35]  Mark S. Daskin,et al.  A Maximum Expected Covering Location Model: Formulation, Properties and Heuristic Solution , 1983 .

[36]  D. L. Holmes Emergency Medical Systems Analysis , 1979 .

[37]  A R Odoni,et al.  THE PROBABILISTIC VEHICLE ROUTING PROBLEM. VEHICLE ROUTING: METHODS AND STUDIES. STUDIES IN MANAGEMENT SCIENCE AND SYSTEMS - VOLUME 16 , 1988 .

[38]  H Rubin,et al.  Improving a pharmaceutical purchasing and inventory control system. , 1983, American journal of hospital pharmacy.

[39]  E. R. Petersen STOCHASTIC VEHICLE ROUTING PROBLEM WITH RESTOCKING. , 2000 .

[40]  Eleni Hadjiconstantinou,et al.  Routing under Uncertainty: An Application in the Scheduling of Field Service Engineers , 2002, The Vehicle Routing Problem.

[41]  Moshe Dror,et al.  Stochastic vehicle routing with modified savings algorithm , 1986 .

[42]  Bruce L. Golden,et al.  Stochastic vehicle routing: A comprehensive approach , 1983 .

[43]  Charles ReVelle,et al.  The Maximal Conditional Covering Problem , 1996 .

[44]  Charles S. ReVelle,et al.  The Maximum Availability Location Problem , 1989, Transp. Sci..

[45]  Rajan Batta,et al.  The Maximal Expected Covering Location Problem: Revisited , 1989, Transp. Sci..

[46]  M. Dror Modeling vehicle routing with uncertain demands as a stochastic program: Properties of the corresponding solution , 1993 .

[47]  Jeffrey Goldberg,et al.  Locating Emergency Vehicle Bases When Service Time Depends on Call Location , 1991, Transp. Sci..

[48]  Dimitris Bertsimas,et al.  The probabilistic vehicle routing problem , 1988 .

[49]  Jürgen Branke,et al.  Waiting Strategies for Dynamic Vehicle Routing , 2005, Transp. Sci..

[50]  C. Revelle,et al.  A Reliability-Constrained Siting Model with Local Estimates of Busy Fractions , 1988 .

[51]  Fernando Ordóñez,et al.  The Stochastic Vehicle Routing Problem for Large-scale Emergencies , 2007 .

[52]  Richard C. Larson,et al.  Approximating the Performance of Urban Emergency Service Systems , 1975, Oper. Res..

[53]  Vladimir Marianov,et al.  The Queueing Maximal availability location problem: A model for the siting of emergency vehicles , 1996 .

[54]  Kathleen Hogan,et al.  The maximum reliability location problem and α-reliablep-center problem: Derivatives of the probabilistic location set covering problem , 1990 .