Thursday, 14:15 - 14:40 h, Room: H 0104

 

Laurence Wolsey
The one warehouse multiple retailer problem with start-ups and constant capacities

Coauthors: Mathieu Van Vyve, Hande Yaman

 

Abstract:
For the uncapacitated OWMR problem with K clients and T periods,
a multi-commodity reformulation solves instances with K,T=100 to optimality. We consider a new relaxation
motivated by the Wagner-Whitin relaxation that is effective for single level problems. The relaxed solution set
X decomposes into X =∩t=1TYt, each set Yt having the same structure, denoted Y.


  1. When K=1 and uncapacitated at warehouse and client, we give a tight and compact extended formulation for conv(Y), an inequality description in the original space, and an O(T) separation algorithm.
  2. A similar result with start-up costs at both levels.
  3. With multiple clients (K>1), the convex hull of Y is essentially the intersection of the convex hulls for each client individually,
    providing an O(KT2) formulation for X and OWMR.
  4. When uncapacitated at the warehouse and constant capacity for each retailer, we give an extended formulation for Y
    that is conjectured to be tight.

For OWMR with start-ups, our formulation improves computationally on the multicommodity formulation, and with capacities it solves to optimality instances with K,T=25.

 

Talk 3 of the invited session Thu.2.H 0104
"Strong relaxations for stable set and lot sizing" [...]
Cluster 11
"Integer & mixed-integer programming" [...]

 

  Most online loan lenders allow getting New Jersey Payday Loans without visiting a bank, straight to your bank account. On the global pharmaceutical market this medicine was issued in 2003 by two companies - Eli Lilly and ICOS. Initially, permission to sell Cialis Sale was obtained in Europe, Australia, New Zealand.