TITLE:
Approaches to Solve MID_CPLP Problem: Theoretical Framework and Empirical Investigation
AUTHORS:
Renduchintala Raghavendra Kumar Sharma, Pritee Agarwal
KEYWORDS:
TSCWLP, Location, Transportation, Distribution
JOURNAL NAME:
American Journal of Operations Research,
Vol.4 No.3,
May
7,
2014
ABSTRACT:
In two-stage
warehouse location problem, goods are moved from plants to warehouses at
stage-1 (which are larger sized warehouses), and from there to warehouses at
stage-2 (which are smaller sized warehouses); and finally to the markets. We
aim to minimize the sum of location costs of the warehouses at stage-1 and
stage-2; plus the total distribution cost of goods to the markets. In this
paper two-stage capacitated warehouse location problem (TSCWLP) is vertically
decomposed into the smaller problems, which is attained by relaxing the
associated flow balance constraints. This leads to three different versions of
Capacitated Plant Location Problem (CPLP) referred as RHS_CPLP, MID_CPLP and
LHS_CPLP (Verma and Sharma REF
_Ref387068711 \r \h [1]). In this paper
MID_CPLP is reduced to RHS_CPLP and a single constraint 0-1 Knapsack problem by
relaxing a difficult constraint. Interesting results and conjectures are given.
Later two more valid constraints are added to MID_CPLP which are relaxed
further to get additional results.