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Lot sizing with several products and setup times (MLS)

Definition 1: Lot sizing with several products and setup times

A set \(P\) of products shares the resource of each period: \(d_{pt}\), \(sc_{pt}\), \(vc_{pt}\) and \(hc_{pt}\) are the data of product \(p \in P\) in period \(t \in T\); producing a unit of \(p\) takes the time \(vt_{pt} \in \Z_{\ge 1}\), a setup takes the time \(st_{pt} \in \Z_{\ge 0}\), and the capacity \(cap_t\) is a time.

What the course does on this problem

Technique Where
Definition This page
Formulations Ch. 15 «Formulations of lot sizing problems»
Exercises Exercise 15.7