Erence matrix from j to c, j, c, Sk : Expense of preparation with the trip in the vehicle k, k, Cvk : Variable charges per distance traveled inside the autos of kind k, k, a j : Earlier arrival at transshipment ULS j, j, b j : Arrival just after the transshipment ULS j, j, a j : Earlier arrival at pointofsale c, c, b j : Arrival following the pointofsale c, c, nnh : Maximum quantity of transshipment centers j in every single zone h, j, h, Qp j : Item reception capacity in the transshipment center j, j, dcp : Demand of item p within the points of sale c, p, c, Qkp : Capacity of vehicle k as outlined by solution variety p, k, p, Cs jh : Cost of relocating transshipment j in zone h, j, h, M: very huge quantity. Variables: X j : Opening position within the abscissa of transshipment ULS j, j, Yj : Opening position within the ordinate of transshipment ULS j, j,Axioms 2021, 10,9 of dxij : Distance when the abscissa of plant i will be to the ideal in the abscissa in the transshipment ULS j, i, j, dxij : Distance when the abscissa of plant i will be to the left with the abscissa from the transshipment ULS j, i, j, dyij : Distance when the ordinate of plant i is above the ordinate of your transshipment ULS j, i, j, dyij : Distance if the ordinate of plant i is under the ordinate on the transshipment ULS j, i, j, ddx : Distance when the abscissa of transshipment ULS j should be to the right of the abscissa of the jc pointofsale c, j, c, ddx : Distance if the abscissa of transshipment ULS j should be to the left with the abscissa of your jc pointofsale c, j, c, ddy : Distance when the ordinate of transshipment ULS j is above the ordinate with the pointofjc sale c, j, c, ddy : Distance in the event the ordinate of transshipment ULS j is below the ordinate of the pointofjc sale c, j, c, Zijkp : Quantity of product p to be sent from plant i to transshipments ULS j employing Trequinsin In Vivo automobile k, i, j, k, p, Zjckp : Quantity of item p to be sent from transshipment j to point of sale c applying vehicle k, i, j, k, p, CVijk : Distribution price from plant i for the transshipment ULS j on trip k, i, j, k, CVjck : Distribution cost from transshipment ULS j to point of sale c on trip k, j, c, k,TVk : Travel time of car k within the arc (i,j), i, j, k, TVk : Travel time of automobile k in the arc (j,c), j, c, k, Vvijk : Speed inside the arc (i,j) of automobile k, i, j, k, Vv jck : Speed in the arc (j,c) of car k, j, c, k, Tg j : Arrival time at transshipment ULS j, j, Tgc : Arrival time at pointofsale c, c, Vb j : Arrival time just before j, j, Va j : Arrival time after j, j, Vb j : Arrival time ahead of c, c, Va j : Arrival time after c, c, jh =1 if transshipment ULS j is in zone h, 0 MLS1547 Protocol otherwise, j, h, j = 1 if transshipment ULS j is open, 0 otherwise, j, Wijkr = 1 if automobile k is assigned for the arc (i,j) with speed r, and 0 otherwise, i, j, k, r, Wjckr = 1 if car k is assigned for the arc (j,c) with speed r, 0 otherwise, j, c, k, r, f f ju = 1 if a number of transshipment ULS are in each zone, j, u J, The objective function is: minz =CVijk CVjck Cs jh jhi j k =1 j c kn j hn jjVa j Vb j c Vac Vbcc(3)Subject to: dxij dxij X j = Ai ij i, j dyij dyij Yj = Oi ij i, j(four) (5) (six)ddx ddx X j = ACc jc jc jc j, cAxioms 2021, ten,10 ofddy ddy Yj = OCc jc jc jc j, c(7) Mj LX jh jh X j Mj UX jh jhh hj Mj LYjh jh Yj Mj UYjh jhh h(eight)j(9) (10)j = J jjh =hjZijkp Wijkr Qkpr(11)i, j, k n, pZjckpu Wjckr Qkpr(12)c, j, k n, pk =1 r(13)Wijkr = ijn(14)i, j(15)kn rWjckr = jcj, cCVijk = M 1 Wijkrr Sk 2.
