Cetinkaya, S.

period demand replenishment window replenishment periods problem demand time windows algorithm model lot-sizing lot-sizing model inventory period t management complexity demand time window backordering property backlogging lot-sizing problem value scheduling satis fied production solution time windows research order 1 ≤ delivery m 0 t replenishment period time window planning science quantity wagelman li ≤ t polynomial time algorithms backordering cost customer paper /procurement cost assumption replenishment order formulation operation demand i section equation /procurement planning horizon ç etinkaya programming amount backordering costs · · · notation lot-size university etinkaya operations research vehicle management sci t 2 time department engineering management science polynomial ei ≤ li production planning report replenishment quantity lot-size model grace period supply shortage definition transportation replenishing