sum limits_{iin I}{e}_i+sum limits_{jin J}{e}_j-sum limits_{kin K}{e}_kle E (5) 5.
Then ( sum limits_{j=1}^N{C}_j ) becomes Nμ.
end{aligned}Hence, the series (sum limits _{n=0}^{infty }sum limits _{mepsilon {Z}}sum limits _{i=0}^{infty }sum limits _{jepsilon {Z}}c_{nm,ij}^{r+1}) is absolutely convergent.
mathop sum limits_{i} mathop sum limits_{j} p_{ij} { cdot }D_{ij} - mathop sum limits_{j in A} T_{j} times F_{j} - mathop sum limits_{i} mathop sum limits_{j in A} hbox{min} ;(SI_{ij} ) (32).
Wi = wi/mathop sum limits_{i = 1}^{n} wi, (1 where.
Now, the solution goal is ( sum limits_{j=1}^N{C}_j ).
{text{Maximize}};mathop sum limits_{i in I} mathop sum limits_{{j in V_{i} }} h_{i} Y_{ij}.
Expected number of customers, EB, in the buffer is given by {text{EB}} = mathop sum limits_{i = 0}^{infty } ;mathop sum limits_{j = s + 1}^{S} ;mathop sum limits_{k = 0}^{S} ky_{i,0,j,k} + mathop sum limits_{i = 0}^{infty } ;mathop sum limits_{j = 0}^{S - 1} ;mathop sum limits_{k = 0}^{S} ky_{i,1,j,k}.
Expected number of departures, EDS, after completing service is {text{EDS}} = mu mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = s + 1}^{S} mathop sum limits_{k = 1}^{j} y_{i,0,j,k} + mu mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = 1}^{S - 1} mathop sum limits_{k = 1}^{j} y_{i,1,j,k}.
Expected inventory level, EI, in the system is given by {text{EI}} = mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = s + 1}^{S} mathop sum limits_{k = 0}^{j} jy_{i,0,j,k} + mathop sum limits_{i = 0}^{infty } mathop sum limits_{j = 0}^{S - 1} mathop sum limits_{k = 0}^{j} jy_{i,1,j,k}.
