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Contents Telektronikk - Telenor

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116<br />

class 1<br />

class 2<br />

class 3<br />

[1,1,1] [2,1,1] [3,1,1] [4,1,1] 5,1,1]<br />

[1,2,1] [2,2,1] [3,2,1] [4,2,1] 5,2,1]<br />

Base stations in layer 1 have 8 resource<br />

units allocated to each of them. 12<br />

resource units have been allocated to<br />

each of the base stations in layer 2.<br />

Some data for the mobile station classes<br />

are given in Table 2. Both the space element<br />

dwelling times and the total call<br />

holding times are negative exponentially<br />

distributed. Every space element has the<br />

same mean dwelling time. The process of<br />

initiating new calls is equal for all the<br />

classes and in each of the space elements.<br />

New calls are initiated according to a<br />

Poisson process and the rate is used as<br />

the free variable in the results given.<br />

Five different cases of the configuration<br />

have been compared. These cases are<br />

defined in Table 3. Case I is the one pre-<br />

(2,1) (2,2) (2,3)<br />

(1,1) (1,2) (1,3)<br />

[3,3,1] [4,3,1]<br />

Figure 14 Schematic illustration of the example: 12 space elements, 3 classes of base stations<br />

and 6 base stations (arranged in two layers). The space element routing is “wrapped”<br />

Table 1 Coverage list for the space elements in Figure 14<br />

Space elements Coverage list<br />

[1,1,1], [1,2,1] {(2,1)}<br />

[2,1,1], [2,2,1], [2,3,1] {(1,1), (2,1)}<br />

[3,1,1], [3,2,1], [3,3,1] {(1,2), (2,1), (2,2)}<br />

[4,1,1], [4,2,1], [4,3,1] {(1,3), (2,2), (2,3)}<br />

[5,1,1], [5,2,1] {(2,2), (2,3)}<br />

Table 2 Relevant times and radio capacity usage for mobile station classes<br />

sented so far. This is used as reference<br />

for the other cases, i.e. only modifications<br />

compared to case I are described in<br />

the following. In case II the class 1<br />

mobile stations are allowed to use base<br />

stations in both layers. An additional<br />

base station (3,1) is introduced in case<br />

III. This base station covers all the space<br />

element and is reserved for mobile stations<br />

of class 3. Then, these mobile stations<br />

are not allowed to use base stations<br />

in layer 2. Base station (3,1) is capable of<br />

handling three mobile stations of class 3<br />

simultaneously (6 resource units allocated).<br />

The number of resource units in the<br />

layer 2 base stations is reduced by 2 each<br />

(that is, 10 in each of layer 2 base stations).<br />

In case IV a hybrid capacity allocation<br />

scheme is introduced. Each of the<br />

base stations is allocated 4 resource units<br />

as fixed. A maximum amount of resource<br />

units possible to allocate a base station<br />

has been set. A layer 1 base station cannot<br />

have more than 12 resource units and<br />

a layer 2 base station cannot have more<br />

than 20 resource units. The capacity is<br />

allocated in groups of 4 resource units.<br />

There are 9 groups of resource units that<br />

can be allocated dynamically. An interference<br />

matrix is defined. This matrix<br />

states that a resource unit cannot be allo-<br />

mobile station mean space mean total call available base number of<br />

class element dwelling holding time stations (layers) resource unit<br />

time per call<br />

1 1 8 2 1<br />

2 5 8 1 and 2 1<br />

3 2 8 1 and 2 2<br />

cated to more than one base station at a<br />

time (that is, one base station interferes<br />

with all the others). Queuing of handover<br />

calls are allowed for in case V. Every<br />

base station has a queuing capacity of 2<br />

calls. The allowed time in a queue is negative<br />

exponentially distributed with a<br />

mean value of 0.1, a maximum queuing<br />

time of 0.2 is set. A handover call is allowed<br />

to wait in the queue for up to 5<br />

base stations at the same time (this is a<br />

non-effective limit as no space element is<br />

covered by so many base stations).<br />

The space element blocking probability<br />

is considered to be the main service quality<br />

variable for this example. The blocking<br />

probabilities that mobile stations of<br />

class 1 experience in space element<br />

[4,1,1] are depicted in Figure 15. We see<br />

that the different cases influence the<br />

blocking probability. The most significant<br />

effect results for case V (queuing of<br />

handover calls is allowed). In this case,<br />

the blocking of handover calls is the<br />

resulting effect of the queue being full<br />

upon arrival and that the time-out interval<br />

ends before the call can be served by<br />

any of the base stations it has placed in<br />

the queue. As seen from the mobile station,<br />

the effect of each of these events<br />

will be similar. For case V, the new class<br />

1 calls get reduced blocking while the<br />

handover calls of class 1 get an increased<br />

blocking. An explanation to the latter is<br />

that some class 1 handover calls may<br />

face a situation where a class 3 handover<br />

call is located in front of them in the<br />

queue. As this class 3 call requires 2<br />

resource units, it is more likely that it<br />

stays in the queue until the time-out<br />

interval is ended. Therefore, the class 1<br />

handover calls are experiencing a higher<br />

blocking, which again would allow for<br />

more new calls to be handled by the base<br />

stations. We also see that introducing<br />

hybrid allocation of capacity, case IV,<br />

does not seem to improve the situation<br />

much in this example compared to case I.<br />

Allowing the class 1 calls to use base stations<br />

in both layers, case II, gives lower<br />

blocking for this class. This was expected.<br />

In case III, the class 3 calls are not<br />

competing with class 1 and 2 calls for<br />

capacity of base stations in layer 2. For<br />

the results depicted in Figure 15, we see<br />

that this results in lower blocking for<br />

class 1 calls for lower load, when compared<br />

to case III. However, for higher<br />

load the result is the opposite. An explanation<br />

of the latter may be that each of the<br />

base stations in layer 2 has got reduced<br />

capacity in case III compared to case II<br />

and this effect is more significant when<br />

the traffic load is high.

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